#include <bits/stdc++.h>
using namespace std;
#define sim template < class c
#define ris return * this
#define dor > debug & operator <<
#define eni(x) sim > typename \
enable_if<sizeof dud<c>(0) x 1, debug&>::type operator<<(c i) {
sim > struct rge { c b, e; };
sim > rge<c> range(c i, c j) { return rge<c>{i, j}; }
sim > auto dud(c* x) -> decltype(cerr << *x, 0);
sim > char dud(...);
struct debug {
#ifdef LOCAL
~debug() { cerr << endl; }
eni(!=) cerr << boolalpha << i; ris; }
eni(==) ris << range(begin(i), end(i)); }
sim, class b dor(pair < b, c > d) {
ris << "(" << d.first << ", " << d.second << ")";
}
sim dor(rge<c> d) {
*this << "[";
for (auto it = d.b; it != d.e; ++it)
*this << ", " + 2 * (it == d.b) << *it;
ris << "]";
}
#else
sim dor(const c&) { ris; }
#endif
};
#define imie(...) " [" << #__VA_ARGS__ ": " << (__VA_ARGS__) << "] "
// debug & operator << (debug & dd, P p) { dd << "(" << p.x << ", " << p.y << ")"; return dd; }
bool is_good(const vector<int>& a, const vector<int>& in) {
int n = a.size();
int k = in.size();
vector<bool> reached(k);
for(int i = 0; i < n; ++i) {
int sum = 0;
for(int j = i; j < n; ++j) {
sum += a[j];
int len = j - i; // from 0
if(len == k) {
break;
}
if(sum > in[len]) {
return false;
}
if(sum == in[len]) {
reached[len] = true;
}
}
}
return reached == vector<bool>(k, true);
}
void rec(vector<int> a, const vector<int>& in, vector<int>& answer) {
if(!answer.empty()) {
return;
}
int n = a.size();
int k = in.size();
if(n >= k) {
if(is_good(a, in)) {
answer = a;
}
}
if(n < 7) {
for(int x = -4; x <= 4; ++x) {
a.push_back(x);
rec(a, in, answer);
if(!answer.empty()) {
return;
}
a.pop_back();
}
}
}
vector<int> brute(vector<int> in) {
vector<int> a, answer;
rec(a, in, answer);
return answer;
}
vector<int> greedy(vector<int> in) {
vector<int> answer;
answer.push_back(in[0]);
int n = in.size(); // n == k
for(int i = 1; i < n; ++i) {
answer.push_back(in[i] - in[i-1]);
}
if(is_good(answer, in)) {
return answer;
}
return {};
}
int main() {
int k;
scanf("%d", &k);
vector<int> in(k);
for(int i = 0; i < k; ++i) {
scanf("%d", &in[i]);
}
vector<int> answer = greedy(in);
if(answer.empty()) {
puts("NIE");
}
else {
assert((int) answer.size() == k);
puts("TAK");
printf("%d\n", k);
for(int x : answer) {
printf("%d ", x);
}
puts("");
}
// assert(!greedy(in).empty());
// if(!brute(in).empty()) {
// assert(!greedy(in).empty());
// }
// vector<int> answer = greedy(in);
// debug() << imie(answer);
}
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 | #include <bits/stdc++.h> using namespace std; #define sim template < class c #define ris return * this #define dor > debug & operator << #define eni(x) sim > typename \ enable_if<sizeof dud<c>(0) x 1, debug&>::type operator<<(c i) { sim > struct rge { c b, e; }; sim > rge<c> range(c i, c j) { return rge<c>{i, j}; } sim > auto dud(c* x) -> decltype(cerr << *x, 0); sim > char dud(...); struct debug { #ifdef LOCAL ~debug() { cerr << endl; } eni(!=) cerr << boolalpha << i; ris; } eni(==) ris << range(begin(i), end(i)); } sim, class b dor(pair < b, c > d) { ris << "(" << d.first << ", " << d.second << ")"; } sim dor(rge<c> d) { *this << "["; for (auto it = d.b; it != d.e; ++it) *this << ", " + 2 * (it == d.b) << *it; ris << "]"; } #else sim dor(const c&) { ris; } #endif }; #define imie(...) " [" << #__VA_ARGS__ ": " << (__VA_ARGS__) << "] " // debug & operator << (debug & dd, P p) { dd << "(" << p.x << ", " << p.y << ")"; return dd; } bool is_good(const vector<int>& a, const vector<int>& in) { int n = a.size(); int k = in.size(); vector<bool> reached(k); for(int i = 0; i < n; ++i) { int sum = 0; for(int j = i; j < n; ++j) { sum += a[j]; int len = j - i; // from 0 if(len == k) { break; } if(sum > in[len]) { return false; } if(sum == in[len]) { reached[len] = true; } } } return reached == vector<bool>(k, true); } void rec(vector<int> a, const vector<int>& in, vector<int>& answer) { if(!answer.empty()) { return; } int n = a.size(); int k = in.size(); if(n >= k) { if(is_good(a, in)) { answer = a; } } if(n < 7) { for(int x = -4; x <= 4; ++x) { a.push_back(x); rec(a, in, answer); if(!answer.empty()) { return; } a.pop_back(); } } } vector<int> brute(vector<int> in) { vector<int> a, answer; rec(a, in, answer); return answer; } vector<int> greedy(vector<int> in) { vector<int> answer; answer.push_back(in[0]); int n = in.size(); // n == k for(int i = 1; i < n; ++i) { answer.push_back(in[i] - in[i-1]); } if(is_good(answer, in)) { return answer; } return {}; } int main() { int k; scanf("%d", &k); vector<int> in(k); for(int i = 0; i < k; ++i) { scanf("%d", &in[i]); } vector<int> answer = greedy(in); if(answer.empty()) { puts("NIE"); } else { assert((int) answer.size() == k); puts("TAK"); printf("%d\n", k); for(int x : answer) { printf("%d ", x); } puts(""); } // assert(!greedy(in).empty()); // if(!brute(in).empty()) { // assert(!greedy(in).empty()); // } // vector<int> answer = greedy(in); // debug() << imie(answer); } |
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